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Finding the Fourth Proportional to 268,258.93, 402,450.71 and 78,711.64

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Solution

The fourth proportional to 268,258.93, 402,450.71 and 78,711.64 is: 118,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,258.93 : 402,450.71 = 78,711.64 : x
  2. Step 2: Convert to fraction form
    268,258.93/402,450.71 = 78,711.64/x
  3. Step 3: Cross multiply
    268,258.93x = 402,450.71 × 78,711.64
  4. Step 4: Simplify right side
    268,258.93x = 31,677,555,403.26
  5. Step 5: Solve for x
    x = 31,677,555,403.26/268,258.93
  6. Step 6: Final answer
    x = 118,085.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.